| Robert T. Browne - 1919 - 395 Seiten
...mankind. The parallel-postulate, as stated by EUCLID in his Elements of Geometry, reads as follows: **"If a straight line meet two straight lines so as...lines being continually produced, shall at length meet** upon that side on which are the angles which are less than two right angles." On this postulate hang... | |
| Charles Austin Hobbs - 1921 - 192 Seiten
...corresponding angles equal, the two lines are parallel. Prop. 41. If two lines are cut by a transversal **so as to make the two interior angles on the same side of** the transversal supplementary, the lines are parallel. Prop. 41, Cor. II. Two lines respectively perpendicular... | |
| 1901
...far from "self-evident" it is the reader may judge for himself. "If a straight line meets two other **straight lines so as to make the two interior angles...it taken together less than two right angles, these** sides being continually produced shall at length meet on that side on which are the angles which are... | |
| 1886
...of the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is: — "If a straight line meets **two straight lines, so as to make the two interior...lines being continually produced shall at length meet** upon that side on which are the angles which are less than two right angles." In other words, if the... | |
| Roberto Bonola - 1955 - 389 Seiten
...parallels cut hy a transversal make equal alternate angles, he hrings m the unwieldly postulate or axiom: " **If a straight line meet two straight lines, so as...less than two right angles, these straight lines,** heing continually produced, shall at length meet on that side on which are the angles which are less... | |
| Ivor Grattan-Guinness, Gerard Bornet - 1997 - 236 Seiten
...4. And that all right angles are equal to one another. 5. And that if a straight line meet two other **straight lines so as to make the two interior angles...these straight lines being continually produced shall** meet on that side on which are the angles which are less than two right angles. 6. And that two straight... | |
| New Zealand Institute - 1886
...the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is : — " If a straight line meets **two straight lines, so as to make the two interior...than two right angles, these straight lines being** I continually produced shall at length meet upon that side on which are the angles which are less than... | |
| Thomas Campbell, Samuel Carter Hall, Edward Bulwer Lytton Baron Lytton, Theodore Edward Hook, Thomas Hood, William Harrison Ainsworth - 1830
...FRS, of which we give the following extract : — The axiom states, that " if a straight line meets **two straight lines, so as to make the two interior...taken together, less than two right angles, these** two straight lines, being continually produced, shall, at length, meet upon that side on which are... | |
| James Gow
...which the last three are 10. Two straight lines cannot enclose a space: 11. All right angles are equal: **12. If a straight line meet two straight lines, so...make the two interior angles on the same side of it** together less than two right angles, these straight lines will meet if produced on that side. Of these... | |
| 1896
...former we have the sum of the two angles AKH and CfJK equal to two right angles. QED PROPOSITION XI. **If a straight line meet two straight lines so as to...the two interior angles on the same side of it taken** tdgethcr less than two light angles, these straight lines, being continually produced, shall at length... | |
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